Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance

The critical design challenge for a class of servomechanisms is to reject unknown dynamics (including internal uncertainties and external disturbances) and achieve the prescribed performance of the tracking error. To get rid of the influence of unknown dynamics, an extended state observer (ESO) is e...

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Main Authors: Xingfa Zhao, Wenhe Liao, Tingting Liu, Dongyang Zhang, Yumin Tao
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/1/172
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author Xingfa Zhao
Wenhe Liao
Tingting Liu
Dongyang Zhang
Yumin Tao
author_facet Xingfa Zhao
Wenhe Liao
Tingting Liu
Dongyang Zhang
Yumin Tao
author_sort Xingfa Zhao
collection DOAJ
description The critical design challenge for a class of servomechanisms is to reject unknown dynamics (including internal uncertainties and external disturbances) and achieve the prescribed performance of the tracking error. To get rid of the influence of unknown dynamics, an extended state observer (ESO) is employed to estimate system states and total unknown dynamics and does not require a priori information of the known dynamic. Meanwhile, an improved prescribed performance function is presented to guarantee the transient performance of the tracking error (e.g., the overshoot, convergence rate, and the steady state error). Consequently, a modified dynamic surface control strategy is designed based on the estimations of the ESO and error constraints. The stability of the proposed control strategy is demonstrated using Lyapunov theory. Finally, some simulation results based on a turntable servomechanism show that the proposed method is effective, and it has a better control effect and stronger anti-disturbance ability compared with the traditional control method.
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institution Kabale University
issn 2227-7390
language English
publishDate 2025-01-01
publisher MDPI AG
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series Mathematics
spelling doaj-art-a7c15416b5114c28868c61f17e7eb1342025-01-10T13:18:31ZengMDPI AGMathematics2227-73902025-01-0113117210.3390/math13010172Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking PerformanceXingfa Zhao0Wenhe Liao1Tingting Liu2Dongyang Zhang3Yumin Tao4School of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaBeijing Aerospace Times Laser Inertial Technology Company, Ltd., Beijing 100094, ChinaBeijing Aerospace Times Laser Inertial Technology Company, Ltd., Beijing 100094, ChinaThe critical design challenge for a class of servomechanisms is to reject unknown dynamics (including internal uncertainties and external disturbances) and achieve the prescribed performance of the tracking error. To get rid of the influence of unknown dynamics, an extended state observer (ESO) is employed to estimate system states and total unknown dynamics and does not require a priori information of the known dynamic. Meanwhile, an improved prescribed performance function is presented to guarantee the transient performance of the tracking error (e.g., the overshoot, convergence rate, and the steady state error). Consequently, a modified dynamic surface control strategy is designed based on the estimations of the ESO and error constraints. The stability of the proposed control strategy is demonstrated using Lyapunov theory. Finally, some simulation results based on a turntable servomechanism show that the proposed method is effective, and it has a better control effect and stronger anti-disturbance ability compared with the traditional control method.https://www.mdpi.com/2227-7390/13/1/172servomechanismsdisturbance rejectionextended state observer (ESO)prescribed performance functiondynamic surface control
spellingShingle Xingfa Zhao
Wenhe Liao
Tingting Liu
Dongyang Zhang
Yumin Tao
Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance
Mathematics
servomechanisms
disturbance rejection
extended state observer (ESO)
prescribed performance function
dynamic surface control
title Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance
title_full Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance
title_fullStr Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance
title_full_unstemmed Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance
title_short Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance
title_sort disturbance observer based dynamic surface control for servomechanisms with prescribed tracking performance
topic servomechanisms
disturbance rejection
extended state observer (ESO)
prescribed performance function
dynamic surface control
url https://www.mdpi.com/2227-7390/13/1/172
work_keys_str_mv AT xingfazhao disturbanceobserverbaseddynamicsurfacecontrolforservomechanismswithprescribedtrackingperformance
AT wenheliao disturbanceobserverbaseddynamicsurfacecontrolforservomechanismswithprescribedtrackingperformance
AT tingtingliu disturbanceobserverbaseddynamicsurfacecontrolforservomechanismswithprescribedtrackingperformance
AT dongyangzhang disturbanceobserverbaseddynamicsurfacecontrolforservomechanismswithprescribedtrackingperformance
AT yumintao disturbanceobserverbaseddynamicsurfacecontrolforservomechanismswithprescribedtrackingperformance